Now, respected Autosprint correspondent Alberto Antonini claims Domenicali has quit, and will be replaced by Marco Mattiacci.
Until now, Mattiacci has been the chief executive of Ferrari North America.
Antonini explained that Domenicali, realising his exit was necessary given Ferrari's 2014 predicament, will not travel to China for this weekend's grand prix.
"He seems to have willingly accepted the situation," said the correspondent.
"It was a personal decision, taken after much thought at the end of last week, to offer to Maranello and the fans a way to relieve the negative pressure and criticism," added Antonini.